Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning
The research on deductive reasoning in mathematics education has been predominantly associated with the study of proof; consequently, there is a lack of studies on logical reasoning per se, especially with young children. Analytical reasoning problems are adequate tasks to engage the solver in deduc...
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doaj-e43b6089b6114744a3efee194a9b7b0d2020-11-25T01:20:26ZengMDPI AGEducation Sciences2227-71022020-06-011016916910.3390/educsci10060169Venues for Analytical Reasoning Problems: How Children Produce Deductive ReasoningSusana Carreira0Nélia Amado1Hélia Jacinto2Institute of Education, University of Algarve and UIDEF, 8005-139 Faro, PortugalInstitute of Education, University of Algarve and UIDEF, 8005-139 Faro, PortugalInstitute of Education, University of Lisbon, 1649-103 Lisboa, PortugalThe research on deductive reasoning in mathematics education has been predominantly associated with the study of proof; consequently, there is a lack of studies on logical reasoning per se, especially with young children. Analytical reasoning problems are adequate tasks to engage the solver in deductive reasoning, as they require rule checking and option elimination, for which chains of inferences based on premises and rules are accomplished. Focusing on the solutions of children aged 10–12 to an analytical reasoning problem proposed in two separate settings—a web-based problem-solving competition and mathematics classes—this study aims to find out what forms of deductive reasoning they undertake and how they express that reasoning. This was done through a qualitative content analysis encompassing 384 solutions by children participating in a beyond-school competition and 102 solutions given by students in their mathematics classes. The results showed that four different types of deductive reasoning models were produced in the two venues. Moreover, several representational resources were found in the children’s solutions. Overall, it may be concluded that moderately complex analytical reasoning tasks can be taken into regular mathematics classes to support and nurture young children’s diverse deductive reasoning models.https://www.mdpi.com/2227-7102/10/6/169deductive reasoninganalytical reasoning problemreasoning modelsyoung studentsexpression of reasoningbeyond-school mathematics competition |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Susana Carreira Nélia Amado Hélia Jacinto |
spellingShingle |
Susana Carreira Nélia Amado Hélia Jacinto Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning Education Sciences deductive reasoning analytical reasoning problem reasoning models young students expression of reasoning beyond-school mathematics competition |
author_facet |
Susana Carreira Nélia Amado Hélia Jacinto |
author_sort |
Susana Carreira |
title |
Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning |
title_short |
Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning |
title_full |
Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning |
title_fullStr |
Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning |
title_full_unstemmed |
Venues for Analytical Reasoning Problems: How Children Produce Deductive Reasoning |
title_sort |
venues for analytical reasoning problems: how children produce deductive reasoning |
publisher |
MDPI AG |
series |
Education Sciences |
issn |
2227-7102 |
publishDate |
2020-06-01 |
description |
The research on deductive reasoning in mathematics education has been predominantly associated with the study of proof; consequently, there is a lack of studies on logical reasoning per se, especially with young children. Analytical reasoning problems are adequate tasks to engage the solver in deductive reasoning, as they require rule checking and option elimination, for which chains of inferences based on premises and rules are accomplished. Focusing on the solutions of children aged 10–12 to an analytical reasoning problem proposed in two separate settings—a web-based problem-solving competition and mathematics classes—this study aims to find out what forms of deductive reasoning they undertake and how they express that reasoning. This was done through a qualitative content analysis encompassing 384 solutions by children participating in a beyond-school competition and 102 solutions given by students in their mathematics classes. The results showed that four different types of deductive reasoning models were produced in the two venues. Moreover, several representational resources were found in the children’s solutions. Overall, it may be concluded that moderately complex analytical reasoning tasks can be taken into regular mathematics classes to support and nurture young children’s diverse deductive reasoning models. |
topic |
deductive reasoning analytical reasoning problem reasoning models young students expression of reasoning beyond-school mathematics competition |
url |
https://www.mdpi.com/2227-7102/10/6/169 |
work_keys_str_mv |
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